刘维尔定理

  • 网络Liouville's theorem
刘维尔定理刘维尔定理
  1. 本文从粒子束的相空间表示法和刘维尔定理出发,介绍了发射度和亮度的物理概念,简单地讨论了束的发射度和相空间密度分布的测量方法。

    , . Starting from the phase space representation of particle beam and Liouville 's theorem , this paper presented the physical concepts of emittance and brightness and simply discussed the determination of particle beam emittance and density distribution in the transverse phase space projection .

  2. 通过研究完备的、Ricci曲率非负的黎曼流形上的次调和函数的性质,给出了Yau的关于黎曼流形上的刘维尔定理的另一证明。

    The property of subharmonic function on any complete Riemannian manifold with nonnegative Ricci curvature was studied , another proof of Yau 's Liouville Theorem on Riemannian manifold can be obtained .

  3. 弱化了刘维尔定理的条件,给出了刘维尔定理的一个推广。

    This paper weakened the Liouville s theorem conditions , and gives the Liouville theorem of a promotion .